Quantum Field Theory
The definitive, comprehensive university-level course on Quantum Field Theoryβfrom classical field theory through the Standard Model of particle physics.
Course Overview
This course provides a rigorous, comprehensive treatment of quantum field theory at the graduate level. With over 440 pages of detailed content, it serves as both a complete textbook and a reference work for researchers.
π What You'll Learn
- β’ Classical field theory and Lagrangian formalism
- β’ Canonical and path integral quantization
- β’ Feynman diagrams and S-matrix theory
- β’ Gauge theories and Yang-Mills theory
- β’ Renormalization and effective field theory
- β’ The complete Standard Model
- β’ Advanced topics: anomalies, instantons, SUSY
π― Prerequisites
- β’ Quantum mechanics (Dirac notation, operators)
- β’ Special relativity and Lorentz transformations
- β’ Classical mechanics (Lagrangian/Hamiltonian)
- β’ Complex analysis and functional methods
- β’ Group theory and Lie algebras
- β’ Tensor calculus and differential geometry
440+ pages | 8 major parts | 50+ chapters | Hundreds of equations
πΊ Video Lectures
World-class video lectures on quantum field theory from leading physicists and universities.
David Tong: Quantum Fields
Professor David Tong from the University of Cambridge provides an excellent introduction to quantum field theory, covering fundamental concepts, field quantization, and the path to understanding particle physics through QFT.
Peskin & Schroeder Problem Solutions
Video solutions to problems from the classic QFT textbook "An Introduction to Quantum Field Theory" by Peskin & Schroeder.
Course Structure
Part I: Classical Field Theory
Lagrangian formalism, Noether's theorem, scalar/electromagnetic/Dirac fields, symmetries, and the energy-momentum tensor.
Part II: Canonical Quantization
Quantization procedure, free scalar/Dirac fields, Fock space, propagators, spin-statistics theorem, photon quantization.
Part III: Path Integral Formulation
Feynman path integrals, functional methods, generating functionals, Wick's theorem, Feynman rules, loop integrals.
Part IV: Interacting Field Theories
S-matrix theory, cross sections, Οβ΄ theory, Yukawa theory, QED, scattering processes, radiative corrections.
Part V: Gauge Field Theories
Gauge symmetry, Abelian and non-Abelian theories, Yang-Mills, gauge fixing, QCD, electroweak theory.
Part VI: Renormalization Theory
UV divergences, regularization, counterterms, renormalization group, running couplings, effective field theory.
Part VII: Advanced Topics
Anomalies, instantons, solitons, finite temperature QFT, QFT in curved spacetime, introduction to SUSY.
Part VIII: The Standard Model
SM structure, Higgs mechanism, quark and lepton sectors, complete SM Lagrangian, precision tests, beyond SM.
Why This Course?
π University Standard
Designed as the worldwide reference for graduate QFT courses, with rigor matching top physics departments.
π Comprehensive
440+ pages cover everything from first principles to cutting-edge topics, leaving no gaps in understanding.
β¨ Clear Exposition
Every concept explained from the ground up with detailed derivations, physical intuition, and examples.
Learning Path & Prerequisites
Hover over nodes to see connections. Click to lock selection. Colored nodes link to course content.
Start with Classical Field Theory